Search a number
-
+
73260126 = 2391861
BaseRepresentation
bin1000101110111…
…01110001011110
312002212000000000
410113131301132
5122223311001
611134115130
71546462242
oct427356136
9162760000
1073260126
1138398465
122064baa6
13122406b4
149a30422
156671a86
hex45ddc5e

73260126 has 40 divisors (see below), whose sum is σ = 164921064. Its totient is φ = 24406920.

The previous prime is 73260113. The next prime is 73260127. The reversal of 73260126 is 62106237.

It is a happy number.

73260126 is a `hidden beast` number, since 7 + 32 + 601 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 73260126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73260127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38436 + ... + 40296.

Almost surely, 273260126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73260126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460532).

73260126 is an abundant number, since it is smaller than the sum of its proper divisors (91660938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73260126 is an frugal number, since it uses more digits than its factorization.

73260126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73260126 is about 8559.2129311053. The cubic root of 73260126 is about 418.4297488740.

The spelling of 73260126 in words is "seventy-three million, two hundred sixty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1861 2187 3722 4374 5583 6561 11166 13122 16749 19683 33498 39366 50247 100494 150741 301482 452223 904446 1356669 2713338 4070007 8140014 12210021 24420042 36630063 73260126